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Finding the Fourth Proportional to 365.33, 547.76 and 203.14

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Solution

The fourth proportional to 365.33, 547.76 and 203.14 is: 304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.33 : 547.76 = 203.14 : x
  2. Step 2: Convert to fraction form
    365.33/547.76 = 203.14/x
  3. Step 3: Cross multiply
    365.33x = 547.76 × 203.14
  4. Step 4: Simplify right side
    365.33x = 111,268.21
  5. Step 5: Solve for x
    x = 111,268.21/365.33
  6. Step 6: Final answer
    x = 304.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.